Quadratics-Vertex and Standard Form

Convert
 y = 3(x+1)² - 8 into standard form.

• y=3x² + 6x - 5
• y=3x² - 6x - 5
• y=3x² + 6x + 5
• y=3x² - 6x + 5

Convert
 y = -2(x - 4)² + 2 into standard form.

• y= -2x² + 16x - 30
• y= -2x² - 16x - 30
• y=  2x² + 16x - 30
• y= -2x² + 16x + 30

Tags

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

A quadratic equation has a vertex form of y = -2(x - 1)² - 2. Which of the following is equivalent to this form?

• y = 2x² - 4x + 4

• y = -2x² + 4x - 4

• y = -2x² - 4x + 4

• y = 2x² + 4x - 4

Tags

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Convert
 f(x) = 2(x - 2)² +9
to standard form.

• f(x) = 2x² + 8x + 9
• f(x) = 2x² - 8x - 4
• f(x) = 2x² - 8x + 17
• f(x) = 2x² - 8x + 8

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the y-intercept?
f(x) = -2x² + 4x - 6

• (0, 6)
• (0, -6)
• (6, 0)
• (-6, 0)

Tags

CCSS.HSF-IF.C.7A

Identify A, B, and C if y=3x²-8+5x

• A=3, B=5, C=-8

• A=3, B=-8, C=5

• A=3x², B=5x, C=-8

• A=3x² , B=-8, C=5x

Determine the vertex of the parabola:
y = 5x² - 20x + 13

• (5, -7)
• (-2, -7)
• (2, -7)
• (-7, -2)

What is the axis of symmetry for the following function
f(x) = 2x² - 2x + 3

• x = 1/2
• y = 1/2
• x = 3
• y = 3

What is the range of this function?

• y≤ -2
• y ≥ 2
• y ≤ 2
• y ≥ -2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the formula to find the axis of symmetry of a parabola?

• x = -b/2

• x = -b

• x = -b / (2a)

• x = -b / 2